D17ARAYRA3DS.pdf

D17ARAYRA3DS
3D Graph of diffraction pattern of a periodic array of
rectangular apertures.
In comparison the diffraction pattern of rectangular
apertures in random array.
1. Periodic array
i := 0 .. N
λ≡4
j := 0 .. N
xi := ( −2 ) + .20001⋅ i
 sin 2 ⋅ π ⋅ d⋅ x  
 
2⋅ λ  
f ( x , y) := 

  2 ⋅ π ⋅ d⋅ x  
2⋅ λ  
 
2
 sin 2 ⋅ π ⋅ d1⋅ y  
 
2⋅ λ  
⋅

  2 ⋅ π ⋅ d1⋅ y  
2⋅ λ  
 
M i , j := f ( xi , yj)
d≡2
N ≡ 30
M
y j := −3 + .20001⋅ j
2
p := 6
2
2
  
y⋅ p   
x⋅ p   
sin 2 ⋅ π ⋅ a1⋅
sin 2 ⋅ π ⋅ a⋅
 
2⋅ λ 
2⋅ λ 
 

⋅ 
⋅



x
y

  p ⋅ sin 2⋅ π ⋅ a1⋅ 

  p⋅ sin 2 ⋅ π ⋅ a⋅

2
⋅
λ
2⋅ λ   


 

d1 ≡ 2
a1 ≡ 4
a≡4
2. Random array
 sin 2 ⋅ π ⋅ d ⋅ x  
 
2⋅ λ  
f1( x , y) := 

  2 ⋅ π ⋅ d ⋅ x  
2⋅ λ  
 
MMi , j := f1( xi , yj)
MM
2
 sin 2 ⋅ π ⋅ a⋅ y  
 
2⋅ λ  
⋅

  2 ⋅ π ⋅ a⋅ y  
2⋅ λ  
 
2